Question

Can someone help me find the value of x?

Answer 1

The measure of arc x is
`60\°`

Explanation:

we know that

The measurement of the external angle is the semi-difference of the arcs it comprises.

so

In this problem

`55\°=(1)/(2)(170\°-x\°)`

solve for x

`110\°=(170\°-x\°)`

`x\°=(170\°-110\°)=60\°`